/*
 * Scyther description of Kerberos as in RDDM'07
 *
 */

usertype Sessionkey;
usertype Text;
secret ktk: Function;
secret kck: Function;
secret kst: Function;

protocol kerberos(C,K,T,S) {

	role C {
		const n1: Nonce;
		const n2: Nonce;
		var tgt: Ticket;
		var st: Ticket;
		var AKey: Sessionkey;
		var SKey: Sessionkey;
		const t: Text;

		send_1(C,K, C,T,n1);
		read_2(K,C, tgt, { AKey,n1,T }kck(C,K) );

		// Stage boundary
		
		send_3(C,T, tgt, { C }AKey,C,S,n2 );
		read_4(T,C, C, st, { SKey, n2, S }AKey );
		
		// Stage boundary
		
		send_5(C,S, st, { C,t }SKey );
		read_6(S,C, { t }SKey );

		// Theorem 5 (a)
                // If C,K are honest
                claim(C,Reachable);
		// Theorem 6 (a)
		// If C,K,T are all honest
		claim(C,Secret,AKey);
		// Theorem 7 (a)
		// If C,K,S are all honest
		claim(C, Reachable);
		// Theorem 8
		// If C,K,S are all honest
                claim(C, Secret, SKey);
	}
	role K {
		var n1: Nonce;
		const AKey: Sessionkey;

		read_1(C,K, C,T,n1);
		send_2(K,C, { AKey, C }ktk(T,K), { AKey,n1,T }kck(C,K) );
		// Theorem 6 (a)
		// If C,K,T are all honest
		claim_K1(K,Secret,AKey);
	}

	role T {
		var AKey: Sessionkey;
		var n2: Nonce;
		const SKey: Sessionkey;

		read_3(C,T, { AKey, C }ktk(T,K), { C }AKey,C,S,n2 );
		send_4(T,C, C,{ SKey, C }kst(S,T), { SKey, n2, S }AKey );

		// Theorem 5 (a)
                // If C,K are honest
                claim(T,Reachable);
		// Theorem 6 (a)
		// If C,K,T are all honest
		claim(T,Secret,AKey);

		// My own
		claim(T,Secret,SKey);
	}
	role S {
		var t: Text;
		var SKey: Sessionkey;

		read_5(C,S, { SKey, C }kst(S,T), { C,t }SKey );
		send_6(S,C, { t }SKey );
		// Theorem 7 (b)
		// If C,K,S,T are honest
		claim(S, Reachable);

		// My own
		claim(S, Secret, t);
		claim(S, Secret, SKey);
	}
}

const Alice,Bob,Charlie,Eve: Agent;
untrusted Eve;

// C untrusted
compromised kck(Eve,Alice);
compromised kck(Alice,Eve);

// K untrusted
compromised kck(Eve,Alice);
compromised kck(Alice,Eve);
compromised ktk(Eve,Alice);
compromised ktk(Alice,Eve);

// T untrusted
compromised kst(Alice,Eve);
compromised kst(Eve,Alice);
compromised ktk(Eve,Alice);
compromised ktk(Alice,Eve);

// S untrusted
compromised kst(Alice,Eve);
compromised kst(Eve,Alice);